© The Institution of Engineering and Technology
In this study, the multi-consensus problem is investigated for second-order multi-agent systems with only sampled position information. By matrix theory and algebraic graph, the multi-consensus and multi-tracking can be achieved if the gains and sampling period satisfy a range. Simulations are provided to verify the effectiveness of the results.
References
-
-
1)
-
5. Liu, Z.-W., Guan, Z.-H., Zhou, H.: ‘Impulsive consensus for leader-following multiagent systems with fixed and switching topology’, Math. Problems Eng., 2013, .
-
2)
-
J. Hu ,
G. Feng
.
Distributed tracking control of leader-follower multi-agent systems undernoisy measurement.
Automatica
,
1382 -
1387
-
3)
-
14. Zhao, Y., Duan, Z.S., Wen, G.H., Zhang, Y.J.: ‘Distributed finite-time tracking control for multi-agent systems: an observer-based approach’, Syst. Control Lett., 2013, 62, (1), pp. 22–28 (doi: 10.1016/j.sysconle.2012.10.012).
-
4)
-
1. Xiao, F., Chen, T.W.: ‘Sampled-data consensus for multiple double integrators with arbitrary sampling’, IEEE Trans. Autom. Control, 2012, 57, (12), pp. 3230–3235 (doi: 10.1109/TAC.2012.2200374).
-
5)
-
W.W. Yu ,
W.X. Zheng ,
G.R. Chen ,
W. Ren ,
J.D. Cao
.
Second-order consensus in multi-agent dynamical systems with sampled position data.
Automatica
,
7 ,
1496 -
1503
-
6)
-
G. Wen ,
Z. Duan ,
W. Yu ,
G. Chen
.
Consensus of multi-agent systems with nonlinear dynamics and sampled-data information: a delayed-input approach.
Int. J. Robust Nonlinear Control
-
7)
-
S. Li ,
H. Du ,
X. Lin
.
Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics.
Automatica
,
8 ,
1706 -
1712
-
8)
-
2. Tian, Y.: ‘Stability analysis and design of the second-order congestion control for networks with heterogeneous delays’, IEEE Trans. Netw., 2005, 13, (5), pp. 1082–1093 (doi: 10.1109/TNET.2005.857069).
-
9)
-
31. Qin, J., Gao, H., Zheng, W.X.: ‘Second-order consensus for multi-agent systems with switching topology and communication delay’, Systems Control Lett., 2011, 60, (6), pp. 390–397 (doi: 10.1016/j.sysconle.2011.03.004).
-
10)
-
21. Ma, Q., Xu, S., Lewis, F.L.: ‘Second-order consensus for directed multi-agent systems with sampled data’, Int. J. Robust Nonlinear Control, 2014, 24, (16), pp. 2560–2573 (doi: 10.1002/rnc.3010).
-
11)
-
12. Wen, G., Duan, Z., Chen, G., Yu, W.: ‘Consensus tracking of multi-agent systems with Lipschitz-type node dynamics and switching topologies’, IEEE Trans. Circuits Syst. I, Reg. Papers, 2014, 61, (2), pp. 499–511 (doi: 10.1109/TCSI.2013.2268091).
-
12)
-
Y. Gao ,
L. Wang ,
G. Xie ,
B. Wu
.
Consensus of multi-agent systems based on sampled-data control.
Int. J. Control
,
12 ,
2193 -
2205
-
13)
-
J. Qin ,
W.X. Zheng ,
H. Gao
.
Convergence analysis for multiple agents with double-integrator dynamics in a sampled-data setting.
IET Control Theory Appl.
,
18 ,
2089 -
2097
-
14)
-
H. Liu ,
G. Xie ,
L. Wang
.
Necessary and sufficient conditions for solving consensus problems of double-integrator dynamics via sampled control.
Int. J. Robust Nonlinear Control
,
15 ,
1706 -
1722
-
15)
-
12. Feng, Y., Xu, S., Zhang, B.: ‘Group consensus control for double-integrator dynamic multiagent systems with fixed communication topology’, Int. J. Robust. Nonlinear Control, 2014, 24, (3), pp. 532–547 (doi: 10.1002/rnc.2904).
-
16)
-
Y. Cao ,
W. Ren
.
Sampled-data discrete-time coordination algorithms for double-integrator dynamics under dynamic directed interaction.
Int. J. Control
,
3 ,
506 -
515
-
17)
-
9. Sun, F., Ren, W., Cao, Y., You, Z.: ‘Leader-following finite-time consensus for multi-agent systems with jointly-reachable leader’, Nonlinear Anal., Real World Appl., 2012, 13, (5), pp. 2271–2284 (doi: 10.1016/j.nonrwa.2012.01.022).
-
18)
-
11. Yu, J., Wang, L.: ‘Group consensus of multi-agent systems with directed information exchange’, Int. J. Syst. Sci., 2012, 43, (2), pp. 334–348 (doi: 10.1080/00207721.2010.496056).
-
19)
-
13. Lu, X., Francis, A., Chen, S.: ‘Cluster consensus of second-order multi-agent systems via pinning control’, Chin. Phys. B, 2010, 19, (12), pp. 1–7.
-
20)
-
18. Qin, J., Gao, H., Zheng, W.: ‘Consensus strategy for a class of multi-agents with discrete second-order dynamics’, Int. J. Robust. Nonlinear Control, 2012, 22, (4), pp. 437–452 (doi: 10.1002/rnc.1705).
-
21)
-
23. Mei, J., Ren, W., Ma, G.: ‘Distributed coordination for second-order multi-agent systems with nonlinear dynamics using only relative position measurements’, Automatica, 2013, 49, (5), pp. 1419–1427 (doi: 10.1016/j.automatica.2013.01.058).
-
22)
-
11. Gao, Y., Ma, J., Zuo, M., et al: ‘Consensus of discrete-time second-order agents with time-varying topology and time-varying delays’, J. Franklin Inst., 2012, 349, (8), pp. 2598–2608 (doi: 10.1016/j.jfranklin.2012.06.009).
-
23)
-
P. Lin ,
Y. Jia
.
Average consensus in networks of multi-agents with both switching topology and coupling time-delay.
Physica A
,
303 -
313
-
24)
-
10. Yi, J., Wang, Y., Xiao, J.: ‘Reaching cluster consensus in multi-agent systems’. The 2nd Int. Conf. Intellignet Control and Information Processing, 2011, pp. 569–573.
-
25)
-
25. Ren, W., Cao, Y.: ‘Distributed coordination of multi-agent networks: emergent problems models, and issues’ (Springer, 2010).
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2014.0468
Related content
content/journals/10.1049/iet-cta.2014.0468
pub_keyword,iet_inspecKeyword,pub_concept
6
6